The invention discloses a plunger-filter beverage-making machine with a lid which can be closed by a valve. The beverage-making machine has a vessel (2), a lid (3) and a filter piston (4) which can be vertically displaced in the vessel and has a piston rod (41). The lid (3) contains a pouring opening (37) which can be closed by means of an elongate lever (33) which extends transverse to the piston rod. To this end, the lever is mounted on the lid such that it can pivot about a horizontal axis. The lever has, in the region of its front end, a closure body (36) in order to close the pouring opening and, in the region of its rear end, an operating region (331) in order to pivot the lever by virtue of pressure exerted by a finger of a user.